Application of particle swarm optimization in chaos synchronization in noisy environment in presence of unknown parameter uncertainty

In this paper, particle swarm optimization (PSO) is applied to synchronize chaotic systems in presence of parameter uncertainties and measurement noise. Particle swarm optimization is an evolutionary algorithm which is introduced by Kennedy and Eberhart. This algorithm is inspired by birds flocking. Optimization algorithms can be applied to control by defining an appropriate cost function that guarantees stability of system. In presence of environment noise and parameter uncertainty, robustness plays a crucial role in succeed of controller. Since PSO needs only rudimentary information about the system, it can be a suitable algorithm for this case. Simulation results confirm that the proposed controller can handle the uncertainty and environment noise without any extra information about them. A comparison with some earlier works is performed during simulations.

► A new adaptive control for chaos synchronization based on particle swarm optimization (PSO) technique is proposed.
► The PSO technique is modified to be utilized in a real-time manner which is suitable for control problems.
► Simulation shows the proposed synchronization method can deal with uncertainty with unknown bounds and measurement noise.
► In comparison with the sliding mode control technique, the proposed method shows no chattering behavior in control.